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Stability of Long's vortex at large flow forceLong's self-similar vortex is known to have two solutions for each supercritical value of the flow force. Each of those solutions is shown to have a double structure if the flow force is large. The inertial instabilities of one of those large-flow-force limit solutions are investigated, showing that they are related to the instabilities of the Bickley jet in one regime. However, the swirl in the vortex becomes important for long waves, very strongly modifying the sinuous and varicose, Bickley modes. The asymptotic results obtained agree well with the numerical solutions for the sinuous mode, but not for the varicose mode, the difficulty in the latter case being apparently due to mode jumping.
Document ID
19900024553
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Foster, M. R.
(Ohio State University Columbus, United States)
Smith, F. T.
(University College London, United Kingdom)
Date Acquired
August 14, 2013
Publication Date
September 1, 1989
Publication Information
Publication: Journal of Fluid Mechanics
Volume: 206
ISSN: 0022-1120
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
90A11608
Distribution Limits
Public
Copyright
Other

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